Aunt Emily made 85 more shortbreads than biscuits. After she gave 0.9 of the shortbreads and
35 of the biscuits to Linda, she was left with 55 more shortbreads than biscuits. How many shortbreads did she make?
| |
Shortbreads |
Biscuits |
Comparing shortbreads
and biscuits at first |
|
85 more |
Before |
10 u |
5x2 + 85 =
10 u + 85 |
Change |
- 9 u |
- 3x2 - 51 =
- 6 u - 51
|
After |
1 u |
2x2 + 34 =
4 u + 34 |
Comparing shortbreads
and biscuits in the end |
|
55 more |
0.9 =
910 35 x 85 = 51
Number of biscuits that Aunt Emily gave to Linda = 6 u + 51
If Aunt Emily made another 55 shortbreads in the end, the number of shortbreads and biscuits in the end would be the same.
4 u + 34 = 1 u + 55
4 u - 1 u = 55 - 34
3 u = 21
1 u = 21 ÷ 3 = 7
Number of shortbreads that Aunt Emily made
= 10 u
= 10 x 7
= 70
Answer(s): 70
